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Finding the Fourth Proportional to 4,162.62, 5,742.39 and 2,482.92

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Solution

The fourth proportional to 4,162.62, 5,742.39 and 2,482.92 is: 3,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.62 : 5,742.39 = 2,482.92 : x
  2. Step 2: Convert to fraction form
    4,162.62/5,742.39 = 2,482.92/x
  3. Step 3: Cross multiply
    4,162.62x = 5,742.39 × 2,482.92
  4. Step 4: Simplify right side
    4,162.62x = 14,257,894.98
  5. Step 5: Solve for x
    x = 14,257,894.98/4,162.62
  6. Step 6: Final answer
    x = 3,425.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.